Lisa is a manager at a maid service company. She has two maids working for her, Sophia and Cameron. Sophia can clean a small house in 7 hours while Cameron can clean the same small house in 10 hours.
Part A: How long will it take Sophia and Cameron to clean the small house together? A complete answer will include an equation representing the situation and all steps in solving the equation.
Part B: The manager Lisa thinks if they work together on the small house, they can clean it in 8.5 hours. Is Lisa correct or incorrect? Explain your reasoning using complete sentences.

Answers

Answer 1

The time that it take Sophia and Cameron to clean the small house together is 4 2/17 hours.

b. The manager is incorrect. They'll finish in about 4 hours.

How to illustrate the fraction?

From the information, Lisa is a manager at a maid service company and she has two maids working for her, Sophia and Cameron. Sophia can clean a small house in 7 hours while Cameron can clean the same small house in 10 hours.

This will be Illustrated as:

1/7 + 1/10 = 1/t

where t = time.

10/70 + 7/70 = 1/t

17 / 70 = 1/t

t = 70 / 17

t = 4 2/17 hours

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Related Questions

TJ Maxx's stock from Tuesday to Wednesday went from $22 to $25. Find the percent increase in the stock

Answers

Use the percentage gain formula to find out how much your stocks have gone up in value as a fraction of the original purchase price.

What is purchase price?Assume, for example, an investor buys 100 shares of Ford common stock on three different dates over a five-year period, including 100 shares purchased at a market price of $40, $60 and $80 per share. To determine the cost basis of the purchases, the investor needs to calculate the weighted average cost, which is the total dollar amount of the purchases divided by the number of shares purchased.At 100 shares each, the dollar amounts of Ford stock purchases are $4,000, $6,000, and $8,000, or a total of $18,000, and the purchase total is divided by 300 shares to equal $60 per share. If the investor adds to the stock position, they can calculate a new weighted average price by adding the dollar amount of the new purchases and the additional shares to the calculation.

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The Farmer wants to provide an area of 20 square meters for each rabbit. Which of these is true? Choose all that are correct.

a) The perimeter of the field is approximately 300 meters
b) The perimeter of the field is approximately 316 meters
c) The field will hold a total of 270 rabbits
d) The area of the field is 6,000 square meters
e) The field will hold a total of 300 rabbits

Answers

None of the given statements are true.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

From the given diagram of the rectangle,

The length of the rectangle is 6 units and the width of the rectangle is 4 units.

So, The perimeter of the rectangle is, 2(6 + 4) = 20 meters.

The area of the rectangle is, (6×4) = 24 square meters.

From the given statements none of the statements are true.

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Use Structure The same dividend is divided by 0.1 and 0.01. How do the quotients compare? Explain your thinking.​

Answers

Answer:

the one divided by 0.01 will result in a quotient 10x larger than the one divided by 0.1.

this is because 0.01 multiplies the quotient by 100 and 0.1 multiplies it by 10.

100 is 10 times larger than 10.

mark brainliest

Step-by-step explanation:

Answer:

Step-by-step explanation:

The one divided by 0.01 will be 10x larger than the one divided by 0.1


(a) Construct a frequency distribution. Use a first class having a lower class limit of 35,000 and a class width of 5000.
Income
Frequency

Answers

By deducting 0.5 from the lower class limit and 0.5 from the upper class limit, the class borders can be calculated by mean .

what is mean ?

The arithmetic mean, often known as the average, of a dataset is the sum of all values divided by the total number of values (as opposed to the geometric mean). This is the most often used index of central tendency, sometimes known as the "mean." This result can be obtained by simply dividing the total number of values in the dataset by the sum of all the values. For calculations, it is possible to use both unprocessed data and data that have been merged into frequency table . Average refers to the average value of a number.

given

By deducting 0.5 from the lower class limit and 0.5 from the upper class limit, the class borders can be calculated.

For each value that belongs to a class, a check mark should be drawn next to it.

(a)200 students ( sum all F top)

(b) 10 (IQ scores van de 10 en 10)

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Find the cost of fencing a rectangular field,85 m long and 55 m wide at the rate of rupees 11/m

Answers

935 m is the  cost of fencing a rectangular field,85 m long and 55 m wide at the rate of rupees 11/m

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given that there is a  rectangular field.

Length of rectangular field is 85 m

Width of rectangular field is 55 m.

Perimeter=2(length+width)

=2(85+55)

=2(140)

=280 m

cost of fencing per meter is 11.

cost of fencing per 85 meter is 11×85.

935

Hence, 935 m is the  cost of fencing a rectangular field,85 m long and 55 m wide at the rate of rupees 11/m

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Mr. Elliot's class created a mural about Martin Luther King in their school.
The mural was 4.75 feet long by 3.25 feet wide. If it took the class 30 minutes to paint 1 square foot of the mural, about how long did it take them to complete the whole thing?
PLEASE SHOW FULL WORK AND explain
I have struggling for 2 hours now pls help
THANKS FOR YOUR TIME :)

Answers

Answer: To find out how long it took the class to paint the whole mural, you need to first find out how many square feet the mural is. To do this, you can multiply the length and width of the mural together:

4.75 feet x 3.25 feet = 15.4375 square feet

You know that it takes 30 minutes to paint 1 square foot, so you can multiply the number of square feet by the time per square foot to find the total time:

15.4375 square feet x 30 minutes/square foot = 463.125 minutes

So, it took the class approximately 463.125 minutes to paint the whole mural. To convert it to hours, you can divide the minutes by 60:

463.125 minutes / 60 = 7.71875 hours

So, it took the class about 7.71875 hours to paint the whole mural.

Step-by-step explanation:

i need the answer ASAP please help

Answers

The width of the garden with an area of 70 square feet is 10 feet

What is an equation?

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

The area of a field the amount of space occupied by the field. The area is the product of its length and width. It is given by:

Area = length * width

Let w represent the width. The length is 3 feet longer, hence:

Length = w + 3

Area = length * width

Area = (w + 3)(w)

But the area is 70 ft², hence:

70 = (w + 3)(w)

w² + 3w = 70

w² + 3w - 70 = 0

w = 7 feet

Length = w + 3 = 7 + 3 = 10 feet

The width is 10 feet

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Determine if events A and B are mutually exclusive.

P(A) = 9/20 P(B) = 1/2 P(A or B) = 299/400

a) mutually exclusive
b) not mutually exclusive

Answers

No, events A and B are not mutually exclusive.

How find  mutually exclusive?Mutually exclusive events are events that cannot occur at the same time. Examples of mutually exclusive events include rolling an odd number on a die and rolling an even number on the same die; flipping a coin and getting heads and flipping the same coin and getting tails; and drawing a red card from a standard deck of cards and drawing a black card from the same deck.To calculate the probability of mutually exclusive events, you need to add the probabilities of each individual event. For example, the probability of rolling an odd number on a die is 1/2 and the probability of rolling an even number on the same die is also 1/2. Therefore, the probability of rolling either an odd or an even number on the die is the sum of 1/2 + 1/2, which is equal to 1. Similarly, the probability of flipping a coin and getting heads is 1/2, and the probability of flipping the same coin and getting tails is also 1/2. Therefore, the probability of flipping a coin and getting either heads or tails is 1/2 + 1/2, which is equal to 1. Finally, the probability of drawing a red card from a standard deck of cards is 26/52, and the probability of drawing a black card from the same deck is also 26/52. Therefore, the probability of drawing either a red or a black card from the deck is equal to 26/52 + 26/52, which is equal to 52/52, or 1.

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Brainly is not too helpfull

Answers

Answer:

Step-by-step explanation:

Answer:

Please try to use this as a site for helping others.

Step-by-step explanation:

(
x

6
)
2
=
(
x

6
)
(
x

6
)

Answers

The expression (x-6)² is equivalent to (x-6)(x-6)

What is Expression?

An expression is combination of variables, numbers and operators.

(x-6)²=(x-6)(x-6)

We know the algebraic identity that (a-b)²=a²+b²-2ab

(x-6)²=x²+6²-2x(6)

=x²-12x+36

Now we have to factorize the expression

x²-6x-6x+36

x(x-6)-6(x-6)

(x-6)(x-6)

Hence, the expression (x-6)² is equivalent to (x-6)(x-6)

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Find the equation of the linear function represented by
the table below in slope-intercept form.

Answers

An intercept is a point on the y-axis through which the slope of a line passes in mathematics.

What is meant by slope-intercept form?

An equation for a line stated using a single point on the line and the line's slope is a straightforward definition of point-slope form. The slope is defined as the rise over run, or the proportion of the change in the y values over the change in the x values, and the point form is denoted by the letters (x, y).

These statistics are here. When a linear equation is expressed in this way, it has the benefit that the values for m and b are the slope and y-intercept, respectively. Consequently, it is easy to graph the line that the equation depicts. M stands for slope, and B for intercept.

An intercept is a point on the y-axis through which the slope of a line passes in mathematics. A place where a straight line or a curve intersects the y-axis is designated by its y-coordinate. The equation for a line, y = mx+c, which has m for the slope and c for the y-intercept, represents this.

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5. 1.75 I don’t understand

Answers

5. 1.75 is one typical kind of algebra word problems is the distance issue

What do word issues with distance mean?One typical kind of algebra word problems is the distance issue. They feature a situation where you have to determine how fast, how far, or how long one or more things have gone.Become familiar with the distance formula, a Pythagorean theorem application that can be used to determine the separation between two places. To compute the separation between any two points, the Pythagorean theorem can be rewritten as d=((x 2-x 1)2+(y 2-y 1)2).One typical kind of algebra word problems is the distance issue. They feature a situation where you have to determine how fast, how far, or how long one or more things have gone.          

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Find the perimeter of the following quadrilateral.
Write your answer as a mixed number in simplest form.
Be sure to include the correct unit in your answer.

Answers

Answer:

Step-by-step explanation:

Sorry to do this, but you haven't attached a picture to your question.

What is the probability of flipping a fair coin and getting heads all 3 times?

Answers

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Remember that flipping it on heads has 49.999999

1/2 x 1/2 x 1/2 so ye

About not exact though

EASY POINTS!

A game streaming service is having an end-of-the-year sale. They are offering discounts
on everything, from new memberships for their service to gaming controllers. Suppose
that you just purchased a new membership with this service for $46.20 for the year, that
was originally $60, what percent of a decrease will this be?

Answers

The percentage decrease will be 23 percent.

How to find percent decrease?

A game streaming service is having an end-of-the-year sale.  They are offering discounts on everything, from new memberships for their service to gaming controllers. You purchased a new membership with this service for $46.20 for the year, that was originally $60, Therefore, the percentage decrease can be calculated as follows:

percentage decrease = original value - new value / original value  × 100

original value = 60 dollars

new value = 46.20 dollars

percentage decrease = 60 - 46.20 / 60 × 100

percentage decrease = 13.8 / 60 × 100

percentage decrease = 1380 / 60

percentage decrease = 23%

Therefore,

percentage decrease = 23%

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Thirty one percent of students at IS2 are 6th graders. What percent of students at IS2 are 7th and 8th graders?

Answers

69% are 7th and 8th graders
Hope this helps

Answer:

Sixty-nine percent.

Step-by-step explanation:

The total student population of sixth, seventh and eighth grade studentes corresponds to 100%

6th grade ⇒ 31%

Then:

100% - 31% = 69%

7th grade + 8th grade = 69%

Jackson painted a picture using 1/2 quart of black paint and 5/6 quarts of blue paint. How many more quarts of blue paint than black paint did he use to paint the picture?

Answers

Jackson used 1 1/6 quarts of blue paint more than black paint to paint the picture.

What is quarts?

Quarts is an imperial and US customary unit of volume equal to a quarter of a gallon, or two pints. It is used in the US to measure dry and liquid ingredients and is especially popular for measuring beer and other beverages. One quart is equal to 946.35 milliliters, or 32 ounces. Quarts are also used in the US customary system to measure dry and liquid ingredients, as well as fuel and other liquids.

In order for Jackson to have used 5/6 quarts of blue paint and 1/2 quart of black paint, he would have used 1 1/6 quarts of blue paint more than black paint. To calculate this, one can add the two fractions together and convert the result to a decimal. The sum of 5/6 and 1/2 is 11/6, which is equal to 1.83. Therefore, Jackson used 1 1/6 quarts of blue paint more than black paint to paint the picture.

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A computer monitor is 20 inches wide. The aspect ratio, which is the ratio of the width of the screen to the height of the screen, is 16:9.
​What is the length of the diagonal of the screen, to the nearest whole inch?

Answers

Using the concept of ratio and Pythagoras theorem, the length of the diagonal is 22.95 in

What is Ratio

A ratio is a way of comparing two or more quantities. It is a mathematical expression that shows the relationship between two or more numbers. The ratio can be written in different ways, such as 4:3, 4/3 or 4 to 3.

In this problem, we have the ratio of width to the height of the screen and we can use Pythagoras theorem to determine the length of the diagonal.

width = 20 in

ratio = 16 : 9

width = (16 / 25) * x

20 = 16/ 25 * x

Total length = 31.25

The height of the screen can be calculated as;

height = 9 / 25 * 31.25

height = 11.25

Using Pythagoras theorem, the length of the diagonal is

d² = 20² + 11.25²

d = 22.95in

The length of diagonal is 22.95 in

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Henry is moving and needs to open a new checking account. He is trying to decide between three banks using the chart below:

Bank X
Bank Y
Bank Z
No monthly fees if balance stays above $500, otherwise $7 per month
No monthly fees if check card is used less than 6 times per month
$5 monthly fee
No minimum balance
$25 minimum balance
No minimum balance
Online banking services
Online banking services
Online banking services
Non-Bank X ATM fee - $2.00 per transaction
Non-Bank Y ATM fee - $1.50 per transaction
Non-Bank Z ATM fee - $2.00 per transaction

Henry usually has about $300 in his account at any given time during the month. He limits his ATM visits to one per week and is interested in banking online options. Bank X and Bank Z have 5 ATMs within a 5 mile radius of Henry’s work and his new home. Which bank should he choose?

Answers

Answer: Based on the information provided, Bank Y is the best option for Henry. Although Bank Y has a $25 minimum balance requirement, Henry only usually has $300 in his account, so this will not be a problem. Furthermore, Bank Y has no monthly fees as long as Henry uses his check card less than 6 times per month, which he is likely to do. Additionally, Bank Y offers online banking services, which Henry is interested in.

Bank X has a monthly fee of $7 if the balance stays below $500, which Henry is likely to incur as he usually only has $300 in his account. Bank Z has a $5 monthly fee regardless of the balance, which is not ideal for Henry.

In terms of ATM fees, Bank Y has the lowest fee at $1.50 per transaction, which is lower than the fees charged by Bank X and Bank Z.

So, based on the information provided, Bank Y is the best option for Henry.

Step-by-step explanation:

The function f(x)=454+0.9x gives the cost in dollars of manufacturing x vinyl records.

Answers

On solving the provided question, we can say that The function f(x)=45.4+0.9x  the cost  as x = 4; f(4) = 45.4 + 3.6 = 49

what is function?

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

The function f(x)=45.4+0.9x

the cost

as x = 4

f(4) = 45.4 + 3.6 = 49

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The Angles to the right are complementary angles determine the measure

Answers

On solving the provided question, we can say that angle 1 + angle 2 = 180 => 11x - 30 + x = 90 => x = 10; angle 1 = 80; angle 2 = 10

what are angles?

An angle is a form in Euclidean geometry made composed of two rays, called the angle's sides, that meet at a point in the middle known as the angle's vertex. In the plane where the rays are placed, two rays can produce an angle. An angle is also produced when two planes intersect. They're known as dihedral angles. In plane geometry, an angle is the form that two rays or lines with a common termination might take. The Latin word "angulus," which means "horn," is where the English word "angle" comes from. The two rays, also known as the sides of the angle, have a common termination known as the vertex.

here,

angle 1 + angle 2 = 180

11x - 30 + x = 90

12x = 120

x = 10

angle 1 = 80

angle 2 = 10

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What is the slope of the line

Answers

Answer:

3/2

Step-by-step explanation:

Find 2 easy to read points: (1, -3) and (3, 0).

slope = (difference in y)/(difference in x)

slope = (-3 - 0)/(1 - 3)

slope = -3/(-2)

slope = 3/2

i need help aspa thank you

Answers

Step-by-step explanation:

usually, when asked about the equation for a line, we give it in slope-intercept form :

y = ax + b

"a" is the slope, "b" is the y-intercept (the y-value when x = 0).

the graph tells us the y-intercept right away : 6

the scope is the ratio

y coordinate difference / x coordinate difference

when going from one point on the line to another.

I recommend to always look for points with integer coordinates (the line goes through a vertex of a grid square).

the y-intercept gives us the first point

(0, 6)

and then I see easily at the other end of the visible line :

(4, 10)

between these 2 points

x changes by + 4 (from 0 to 4).

y charges by + 4 (from 6 to 10).

the slope is then +4/+4 = 1

so, our equation is

y = x + 6

During a baseball game, a player hits a ball while a bird is flying across the field. Let t be the time in seconds since the ball is hit and h be the height in feet. The height of the baseball over time is modeled by the equation h = –16t2 + 65t and the height of a bird over time is modeled by the equation h = 8t + 20. What do the intersection points of the equations represent?
the height of the bird and the ball when the ball and the bird are the same distance from the player
the height of the bird and the ball when the player hits the ball
the time when the height of the ball and the bird are the same
the time when the ball and the bird hit the ground

Answers

If  a player hits a ball while a bird is flying across the field. The intersection points of the equations represent: C the time when the height of the ball and the bird are the same.

What is  intersection points?

Intersection points  can be defined as the points in which two parallel lines meet each other.

Given data:

Height of the baseball over time = h = –16t² + 65t

Height of a bird over time = h = 8t + 20

Where:

t = time in seconds

h = height in feet

–16t² + 65t =  8t + 20

-16t² +57t -20 =0

So,

t = -57 ±√57² -4×(-16) × (-20) / 2× (-16)

t = -57±√3249  -1280/ -32

t = -57 ±√1969 /-32

t = -57 + 44.373 / -32

t =  -12.627 /-32

t =.395

And

t = -57 - 44.373 / -32

t =  -101.373 /-32

t =3.168

Based on the above of the height of both the baseball and the bird, the time when the height of the ball and the bird are the same  are the points were the two lines intersect.

Therefore the correct option is C.

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Im stuck please help me with this

Answers

Answer:

55°

Step-by-step explanation:

First look at the 130. Since we know all these lines are straight, that means 130 and the angle adjacent to it is a supplementary angle. This means that you can take 180 and subtract 130 to get the inside angle. Now that you have two of three angles of the triangle, you can take 180 and subtract both of the known angles to get your final answer.

simplify the square root of 24

Answers

Answer:

4.89

Step-by-step explanation:

√24 gives the answer above

Ross sorted shapes into two groups as shown below.
Group 1
Which rule did he use to place shapes into Group 1?
4
OA. polygons with at least 1 right angle
B. polygons with 5 sides
Group 2
OC. polygons with equal sides
D. polygons with at least 1 pair of parallel sides

Answers

Answer:

u finishe oa

Step-by-step explanation:

drop 4 down then get ur supplier

Write an equation where t varies inversely with S, t = 2.4 when S = 8.

Answers

The equation where t varies inversely with S then  t= [tex]\frac{19.2}{S}[/tex].

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here according to the question t varies  inversely with S then,

=> t ∝ [tex]\frac{1}{S}[/tex]

To remove inverse we need to include constant. then,

=> t = k×[tex]\frac{1}{S}[/tex]

=> t = [tex]\frac{k}{S}[/tex]

Now put t=2.4 and S=8 then

=> 2.4 = [tex]\frac{k}{8}[/tex]

=> k = 2.4×8 = 19.2

Then the equation is t= [tex]\frac{19.2}{S}[/tex].

Hence the equation where t varies inversely with S then  t= [tex]\frac{19.2}{S}[/tex].

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what is the slope of the line passes through the points -2,6 and -12,2

Answers

Answer:[tex]\frac{1}{2}[/tex]

Step-by-step explanation:[tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]=[tex]\frac{2-6}{-12-(-2)}[/tex] =[tex]\frac{-4}{-12+4}[/tex] =[tex]\frac{-4}{-8}[/tex] =[tex]\frac{1}{2}[/tex]  

Find the Mean Absolute Deviation: 10, 9, 3, 8,10.

The Mean is 8

Answers

The Mean Absolute Deviation of the data set 10, 9, 3, 8, 10 with a

mean of 8 is 2.

What is the mean absolute deviation?

The average distance between each data item and the mean is known as the mean absolute deviation.

The gap between each data value and the mean in absolute terms is represented by this average.

Given, A data set 10, 9, 3, 8,10 arranged in ascending order would be,

3, 8, 9, 10, 10 with a mean of 8.

We know the mean absolute deviation formula [tex]\frac{1}{n}\[ \sum_{i=1}^{n} |x_i - \overline{x}|[/tex] which is,

= [tex]\frac{1}{5}\[ \sum_{i=1}^{5} |x_i - 8|[/tex].

= (1/5)[5 + 0 + 1 + 2 + 2].

= (1/5)[5 + 0 + 1 + 2 + 2].

= (1/5)[10].

= 2.

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Other Questions
What Hindu belief allowed those of the Shudra caste to be considered lower than the rest?They did not have the hope of Moshka.They came from Brahmas feet.They were untouchable, the lowest of the low.They worshipped too many gods. how do individual biases influence business communication? (for example, xenophobia and ethnocentrism) What do I put in the boxes? how did florida became a state a classification for matter that always has the same composition (Pythagorean Theorem and the Coordinate Plane MC)Determine the length of the line segment shown. (a) how many cards are in a complete deck of set? (b) how many unique sets are there? when three cards form a set, we can also count the number of attributes for which all three cards are the same. for example, in the set below, all three cards have the same color, and the same shape (but they have different numbers of shapes and different shading). (c) find the number of sets where all three cards are the same for exactly 0 attributes. (d) find the number of sets where all three cards are the same for exactly 1 attribute. (e) find the number of sets where all three cards are the same for exactly 2 attributes. (f) find the number of sets where all three cards are the same for exactly 3 attributes. What were some problems that researchers noted about their study designs on women being more talkative than men? Use of force, affecting hearts and minds and using the power of the purse as incentives are methods governments rely on to get people to do things they would not otherwise do. What are these examples of?a) bureaucratic agencyb) popular sovereigntyc) power (relational influence)d) executive order a. the columns of a matrix a are linearly independent if the equation ax d 0 has the trivial solution. b. if s is a linearly dependent set, then each vector is a linear combination of the other vectors in s. c. the columns of any 4 5 matrix are linearly dependent. d. if x and y are linearly independent, and if Compare Zaroffs and Rainsfords points of view on the hunt. How does this tension contribute to the moral stakes of the story? Cite evidence from the text to support your answer.(Book is The Most Dangerous Game by Richard Conell) Complete the work to find the length of HD. A gene that controls betacarotene production has been successfully inserted into a common food crop. What is an example of Stabilizing selection? "incredible popular delusions and crowd madness" Who is the author mathematician regarded as the first computer programmer nyt What is the definition of figurative language?A.words meant to be taken to mean exactly what is saidB.language not meant to be taken literallyC.vivid descriptions that create sensory imagesD.a thing or person that stands for something beyond itself what data preparation technique is maeve using when she extracts a payroll data set into two separate files, one for hourly employees and one for salary employees? An image of a parallelogram is shown.A parallelogram with a base of 22 and one-half feet and a height of 19 and one-fourth feet.What is the area of the parallelogram? four hundred twenty-three and one-half ft2 four hundred twenty-seven and one-half ft2 four hundred thirty-three and one-eighth ft2 four hundred fifty-five and one-eighth ft2 users create expense reports and attach receipts in an expenses app before submitting them for approval what should consider user s perspective when enabling this app